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<head><title>standardTableaux -- list all standard tableaux of a certain shape with bounded labels</title>
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<div><h1>standardTableaux -- list all standard tableaux of a certain shape with bounded labels</h1>
<div class="single"><h2>Synopsis</h2>
<ul><li><div class="list"><dl class="element"><dt class="heading">Usage: </dt><dd class="value"><div><tt>standardTableaux(dim, mu)</tt></div>
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<li><div class="single">Inputs:<ul><li><span><tt>dim</tt>, <span>an <a href="../../Macaulay2Doc/html/___Z__Z.html">integer</a></span>, number of labels to be used</span></li>
<li><span><tt>mu</tt>, <span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, a partition which gives the shape</span></li>
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<li><div class="single">Outputs:<ul><li><span><span>a <a href="../../Macaulay2Doc/html/___List.html">list</a></span>, list of all standard tableaux of shape mu with labels 0,...,dim-1</span></li>
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<div class="single"><h2>Description</h2>
<div><table class="examples"><tr><td><pre>i1 : standardTableaux(3, {2,2}) -- lists all standard tableaux on the 2x2 square with entries 0,1,2
o1 = {{{0, 0}, {1, 1}}, {{0, 0}, {1, 2}}, {{0, 0}, {2, 2}}, {{0, 1}, {1, 2}},
------------------------------------------------------------------------
{{0, 1}, {2, 2}}, {{1, 1}, {2, 2}}}
o1 : List</pre>
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<div class="single"><h2>See also</h2>
<ul><li><span><a href="_schur__Rank.html" title="computes the dimension of the irreducible GL(QQ^n) representation associated to a partition">schurRank</a> -- computes the dimension of the irreducible GL(QQ^n) representation associated to a partition</span></li>
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<div class="waystouse"><h2>Ways to use <tt>standardTableaux</tt> :</h2>
<ul><li>standardTableaux(ZZ,List)</li>
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